Differential Geometry and Geometric Structures
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Students' Work: Platonic Solids

Illustration

The icosahedron has 12 vertices, 30 edges and 20 faces. The vertices of an octahedron constitute three golden rectagles (named after the golden ratio appearing there). The planes of these rectangles are mutually orthogonal.

Created by Anja Gotsmy (2012) using POV-Ray - The Persistance of Vision Raytracer.

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Archimedean Solids
Cockles
Confocal Quadrics
Dupin Cyclides
Elliptic Linear Congruence
Geodesics on a Cone
Helices on a Helicoid
Hyperosculating Spheres
Impossible Objects
Klein Bottle
Knots
Menger Sponge
Möbius Tetrahedra
Pascal's Pyramid
Pipe Surfaces
Planar Sections of a Torus
Platonic Solids
Prince Rupert's Cube
Saddle Surfaces
Schwarz Lanterns
Snails
Spherical Loxodromes
Stationary Points
Striction Curves

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Last modified on February 18th, 2016.